What is the Greatest Common Factor of 50838 and 50854?

Greatest common factor (GCF) of 50838 and 50854 is 2.

GCF(50838,50854) = 2

We will now calculate the prime factors of 50838 and 50854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50838 and 50854.

How to find the GCF of 50838 and 50854?

We will first find the prime factorization of 50838 and 50854. After we will calculate the factors of 50838 and 50854 and find the biggest common factor number .

Step-1: Prime Factorization of 50838

Prime factors of 50838 are 2, 3, 37, 229. Prime factorization of 50838 in exponential form is:

50838 = 2¹ × 3¹ × 37¹ × 229¹

Step-2: Prime Factorization of 50854

Prime factors of 50854 are 2, 47, 541. Prime factorization of 50854 in exponential form is:

50854 = 2¹ × 47¹ × 541¹

Step-3: Factors of 50838

List of positive integer factors of 50838 that divides 50838 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 229, 458, 687, 1374, 8473, 16946, 25419

Step-4: Factors of 50854

List of positive integer factors of 50854 that divides 50838 without a remainder.

1, 2, 47, 94, 541, 1082, 25427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50838 and 50854. The biggest common factor number is the GCF number.
So the greatest common factor 50838 and 50854 is 2.

Also check out the Least Common Multiple of 50838 and 50854